I apologize if this has been discussed already. When I tried to search, the forum filtered the word "cube".

Is there a desktop cube effect for switching workspaces for Cinnamon out there? Sliding between workspaces is OK, but the cube effect is easily my favorite. I did not like the KDE implementation (acceleration gets weird if you do it too fast), but compiz did a great job.

If it doesn't exist, would an extension that creates this effect be possible?

Currently, the cube does not exist in Cinnamon. Previously, this effect was done by compiz (and kwin in kde), and compiz isn't compatible with Gnome 3 (and therefore Cinnamon). I suppose it would be possible to create an extension, but that's way out of my league. Just as a note, MATE and Xfce can be made (with some googling) to work with compiz. However, I believe that development of compiz recently stopped (AFAIK it is still be maintained, but no new features are being added).